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Simplifying -1(x + -4) = 3(x + 1) + -5 Reorder the terms: -1(-4 + x) = 3(x + 1) + -5 (-4 * -1 + x * -1) = 3(x + 1) + -5 (4 + -1x) = 3(x + 1) + -5 Reorder the terms: 4 + -1x = 3(1 + x) + -5 4 + -1x = (1 * 3 + x * 3) + -5 4 + -1x = (3 + 3x) + -5 Reorder the terms: 4 + -1x = 3 + -5 + 3x Combine like terms: 3 + -5 = -2 4 + -1x = -2 + 3x Solving 4 + -1x = -2 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 4 + -1x + -3x = -2 + 3x + -3x Combine like terms: -1x + -3x = -4x 4 + -4x = -2 + 3x + -3x Combine like terms: 3x + -3x = 0 4 + -4x = -2 + 0 4 + -4x = -2 Add '-4' to each side of the equation. 4 + -4 + -4x = -2 + -4 Combine like terms: 4 + -4 = 0 0 + -4x = -2 + -4 -4x = -2 + -4 Combine like terms: -2 + -4 = -6 -4x = -6 Divide each side by '-4'. x = 1.5 Simplifying x = 1.5
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